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What are the advantages and disadvantages of using factoring to solve quadratic equations
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The main advantage is that, when it works, it is simple and
gives the roots quickly.
The main disadvantage is that it does not always work. If the
discriminant of the quadratic equation is not a square, then it
will not work.
Also, if the coefficients have many factors, there may be a very
large number of factor pairs you need to try to find the required
sum/difference.